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Mnenie [13.5K]
2 years ago
7

If numerous large random samples or repetitions of the same size are taken from a population, the frequency curve made from prop

ortions from the various samples will have what approximate shape?.
Mathematics
1 answer:
Evgen [1.6K]2 years ago
7 0

Using the Central Limit Theorem, the shape of the frequency curve will be approximately normal.

<h3>What does the Central Limit Theorem state?</h3>

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1 - p)}{n}}, as long as np \geq 10 and n(1 - p) \geq 10.

Hence, the shape of the frequency curve will be approximately normal.

More can be learned about the Central Limit Theorem at brainly.com/question/24663213

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Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu. Assume
Sphinxa [80]

Answer: (1.55, 6.45)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline\ {x}\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

Sample size : n=41

Sample mean : \overline{x}=4.0\text{ kg}

Standard deviation : \sigma=6.1\text{ kg}

Then, 99% confidence interval for population mean will be :_

4\pm\ (2.576)\dfrac{6.1}{\sqrt{41}}\\\\\approx4\pm2.45\\\\=(4-2.45, 4+2.45)=(1.55, 6.45)

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4 years ago
How many terms are in the expression a3 + 3a2b - 4ab - 11b + 7?
Alborosie
A^3 + 3a^2 b - 4ab - 11b + 7 has five terms.
6 0
4 years ago
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What is (are) the solution(s) to the equation 23x−3=−13x−6?
solniwko [45]
From Question ,
23x-3 = 13x-6
Or, 23x-13x = -6+3
Or, 10x = -3
Or, x = -3/10
Therefore x = -3/10 ans

Hope this helps !

Please mark it as the brainliest
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3 years ago
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3 years ago
Mr. Sammie has now decided to expand his food truck business. Based on the information in the chart below, what Region will be b
Nady [450]

Answer:

SouthEast region

Step-by-step explanation:

#We need to find the truck density per region to be able to determine the most viable region for business:

Density=\frac{mass}{Area}\\\\d_{NW}=\frac{320}{10972}=0.0293\  truck/sq \ mi\\\\d_{NE}=\frac{400}{9485}=0.0422\ truck/ sq \ mi\\\\d_{C}=\frac{480}{11645}=0.0412\ truck/sq \ mi\\\\d_{SW}=\frac{515}{11589}=0.0444 \ truck/sq \ mi\\\\d_{SE}=\frac{250}{9933}=0.0252 \ truck/sq \ mi

SouthEast region has the lowest density of 0.0252 truck/sq mi hence the best region for expansion.

-A low food truck density is an indicator of a relatively low competition hence existance of a large market share yet to be dominated.

6 0
4 years ago
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